10361920 has 28 divisors (see below), whose sum is σ = 24675084. Its totient is φ = 4144640.

The previous prime is 10361917. The next prime is 10361927. The reversal of 10361920 is 2916301.

It can be written as a sum of positive squares in 2 ways, for example, as 5053504 + 5308416 = 2248^2 + 2304^2 .

It is a super-3 number, since 3×10361920³ (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10361891 and 10361900.

It is not an unprimeable number, because it can be changed into a prime (10361927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15871 + ... + 16510.

It is an arithmetic number, because the mean of its divisors is an integer number (881253).

Almost surely, 2^10361920 is an apocalyptic number.

10361920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10361920 is an abundant number, since it is smaller than the sum of its proper divisors (14313164).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10361920 is an equidigital number, since it uses as much as digits as its factorization.

10361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32398 (or 32388 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 10361920 is about 3218.9936315563. The cubic root of 10361920 is about 218.0118389890.

The spelling of 10361920 in words is "ten million, three hundred sixty-one thousand, nine hundred twenty".